Question

The equation y = –x + 4 is the boundary line for the inequality y < –x + 4. Which sentence describes the graph of the inequality?

The region shaded above a solid boundary line.

The region shaded below a dashed boundary line.

The region shaded above a dashed boundary line.

The region shaded below a solid boundary line.

Answer 1

Answer: B

Explanation:

The answer is B.

When the sign is < or >, this means that the line is dashed, as it does not include those points as part of the solution. When the sign is
`\leq` or
`\geq`, the line is solid, since the points on it are part of the solution.

Knowing this, we can eliminate A and D.

In order to find out if the shaded part is above or below, you must know that if the sign is less than (< or
`\leq`), than the area underneath it will be shaded, and if the sign is greater than (> or
`\geq`), that the area above it will be shaded.

So, this leaves us with B as the only answer choice, since the line is dashed and must be below the line.